2^log2 1/4+(16/9)^-1/2+lg20-lg2-(log3 2)*(log2 3)+(√2-1)^lg1

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2^log21/4+(16/9)^-1/2+lg20-lg2-(log32)*(log23)+(√2-1)^lg12^log21/4+(16/9)^-1/2+lg20-lg2-(log32)*(log

2^log2 1/4+(16/9)^-1/2+lg20-lg2-(log3 2)*(log2 3)+(√2-1)^lg1
2^log2 1/4+(16/9)^-1/2+lg20-lg2-(log3 2)*(log2 3)+(√2-1)^lg1

2^log2 1/4+(16/9)^-1/2+lg20-lg2-(log3 2)*(log2 3)+(√2-1)^lg1
=1/4+3/4+lg2+1-lg2-1+0
=1